Test Bank for Using and
Understanding
Mathematics A Quantitative
Reasoning Approach 8 th
Edition By Jeffrey Bennett,
William Briggs
Answers at the end of each
chapter.
AMAZINGTIPS
,Exam
Chapter 1
Name
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,
and explain why.
1) 9 + 5 = 14 or 6 × 7 = 42 1)
Draw a Venn diagram to represent the given information.
2) In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a 2)
dishwasher, and 13 apartments have both cable television and a dishwasher.
Decide whether the statement makes sense. Explain your reasoning.
3) Insurance policy A costs $250 and has no deductible. Insurance policy B costs $275 and 3)
has a $500 yearly deductible. Candace thinks the extra $25 per month is worth it to get
the $500 deductible, so she buys policy B.
Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If a
region has no members, state that fact clearly.
4) salty things, sweet things, tangy things 4)
Decide whether the statement makes sense. Explain your reasoning.
5) I know more of the names of the common fallacies in arguments than my father, so I can 5)
recognize fallacies better than he can.
The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
6) "As your Senator, I cannot in good conscience oppose those who are against 6)
deregulation."
A seemingly simple argument is given. Identify at least two hidden assumptions.
7) Cardiovascular exercise is important, because to be healthy you need a strong heart. 7)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
8) beverages and soft drinks 8)
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,
and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
9) Movies are entertaining. 9)
Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them.
10) real numbers, integers, positive numbers, negative numbers, irrational numbers 10)
1
AMAZINGTIPS
,The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
11) The House of Representatives voted to override the veto of the communications bill. 11)
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
12) The sun is bigger than the moon and the sun rotates around the earth. 12)
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,
and explain why.
13) There are 25 letters in the English alphabet or the letter c is a vowel. 13)
Analyze the situation and explain how you would make a decision.
14) Your current cell phone company charges $30 per month for unlimited minutes. Another 14)
company charges $20 per month for the first 500 minutes plus 5¢ a minute for any
additional minutes. Should you keep your current service or switch to the other
company?
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,
and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
15) Some singers are not children. 15)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
16) even numbers and odd numbers 16)
Describe how the sentence is ambiguous.
17) There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a 17)
year in which $50,000 was collected.
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.
18) Premise: 6 + 13 = 19 18)
Premise: 16 + 9 = 25
Premise: 34 + 35 = 69
Conclusion: Whenever we add an even number and an odd number, the result is an odd
number.
Provide an appropriate response.
19) The members of a union are on strike. They are satisfied with their hourly wage rate and 19)
benefits, but they want their overtime wage rate to be increased by 15% in their next
contract. The head of management makes the following statement to the head of the
union: "If you end the strike today and sign the contract, we will meet your demand and
increase the overtime wage rate by 15%." Should the union head accept the offer? Explain.
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
20) George Washington was the first president of the United States of America and France is 20)
in Europe.
2
AMAZINGTIPS
, A seemingly simple argument is given. Identify at least two hidden assumptions.
21) I should not go outside, because it is raining. 21)
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not
the argument is valid.
22) Denying the conclusion 22)
Identify the type of argument and determine its validity with a Venn diagram.
23) Premise: If you cut me, I bleed. 23)
Premise: I do not bleed.
Conclusion: You did not cut me.
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not
the argument is valid.
24) Affirming the hypothesis 24)
Decide whether the statement makes sense. Explain your reasoning.
25) A and B are disjoint sets, so an object is either a member of set A or a member of set B, but 25)
not a member of both sets.
Identify the type of argument and determine its validity with a Venn diagram.
26) Premise: If you break curfew, then you will be punished. 26)
Premise: Thelma was punished.
Conclusion: Thelma broke curfew.
Draw a Venn diagram to represent the given information.
27) There are 12 girls and 15 boys in a kindergarten class. 8 of the girls and 10 of the boys are 27)
right handed.
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
28) motor vehicles and cars 28)
Analyze the situation and explain how you would make a decision.
29) The costs per day of driving to work are $5 for gas, $10 for parking, and $1 for 29)
wear-and-tear on the car. Taking the train to work costs $6.50 each way, plus $1.50 per
day to park at the train station. Should you drive or take the train?
Draw a Venn diagram to represent the given information.
30) In a survey of 80 pet owners, 50 had a dog, 33 had a cat, and 12 had both a cat and a dog. 30)
Draw a Venn diagram to determine whether the argument is valid.
31) Premise: All snakes have fangs. 31)
Premise: Teri's pet does not have fangs.
Conclusion: Teri's pet is not a snake.
3
AMAZINGTIPS
Understanding
Mathematics A Quantitative
Reasoning Approach 8 th
Edition By Jeffrey Bennett,
William Briggs
Answers at the end of each
chapter.
AMAZINGTIPS
,Exam
Chapter 1
Name
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question.
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,
and explain why.
1) 9 + 5 = 14 or 6 × 7 = 42 1)
Draw a Venn diagram to represent the given information.
2) In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a 2)
dishwasher, and 13 apartments have both cable television and a dishwasher.
Decide whether the statement makes sense. Explain your reasoning.
3) Insurance policy A costs $250 and has no deductible. Insurance policy B costs $275 and 3)
has a $500 yearly deductible. Candace thinks the extra $25 per month is worth it to get
the $500 deductible, so she buys policy B.
Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If a
region has no members, state that fact clearly.
4) salty things, sweet things, tangy things 4)
Decide whether the statement makes sense. Explain your reasoning.
5) I know more of the names of the common fallacies in arguments than my father, so I can 5)
recognize fallacies better than he can.
The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
6) "As your Senator, I cannot in good conscience oppose those who are against 6)
deregulation."
A seemingly simple argument is given. Identify at least two hidden assumptions.
7) Cardiovascular exercise is important, because to be healthy you need a strong heart. 7)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
8) beverages and soft drinks 8)
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,
and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
9) Movies are entertaining. 9)
Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them.
10) real numbers, integers, positive numbers, negative numbers, irrational numbers 10)
1
AMAZINGTIPS
,The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
11) The House of Representatives voted to override the veto of the communications bill. 11)
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
12) The sun is bigger than the moon and the sun rotates around the earth. 12)
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,
and explain why.
13) There are 25 letters in the English alphabet or the letter c is a vowel. 13)
Analyze the situation and explain how you would make a decision.
14) Your current cell phone company charges $30 per month for unlimited minutes. Another 14)
company charges $20 per month for the first 500 minutes plus 5¢ a minute for any
additional minutes. Should you keep your current service or switch to the other
company?
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,
and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
15) Some singers are not children. 15)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
16) even numbers and odd numbers 16)
Describe how the sentence is ambiguous.
17) There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a 17)
year in which $50,000 was collected.
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.
18) Premise: 6 + 13 = 19 18)
Premise: 16 + 9 = 25
Premise: 34 + 35 = 69
Conclusion: Whenever we add an even number and an odd number, the result is an odd
number.
Provide an appropriate response.
19) The members of a union are on strike. They are satisfied with their hourly wage rate and 19)
benefits, but they want their overtime wage rate to be increased by 15% in their next
contract. The head of management makes the following statement to the head of the
union: "If you end the strike today and sign the contract, we will meet your demand and
increase the overtime wage rate by 15%." Should the union head accept the offer? Explain.
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
20) George Washington was the first president of the United States of America and France is 20)
in Europe.
2
AMAZINGTIPS
, A seemingly simple argument is given. Identify at least two hidden assumptions.
21) I should not go outside, because it is raining. 21)
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not
the argument is valid.
22) Denying the conclusion 22)
Identify the type of argument and determine its validity with a Venn diagram.
23) Premise: If you cut me, I bleed. 23)
Premise: I do not bleed.
Conclusion: You did not cut me.
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not
the argument is valid.
24) Affirming the hypothesis 24)
Decide whether the statement makes sense. Explain your reasoning.
25) A and B are disjoint sets, so an object is either a member of set A or a member of set B, but 25)
not a member of both sets.
Identify the type of argument and determine its validity with a Venn diagram.
26) Premise: If you break curfew, then you will be punished. 26)
Premise: Thelma was punished.
Conclusion: Thelma broke curfew.
Draw a Venn diagram to represent the given information.
27) There are 12 girls and 15 boys in a kindergarten class. 8 of the girls and 10 of the boys are 27)
right handed.
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
28) motor vehicles and cars 28)
Analyze the situation and explain how you would make a decision.
29) The costs per day of driving to work are $5 for gas, $10 for parking, and $1 for 29)
wear-and-tear on the car. Taking the train to work costs $6.50 each way, plus $1.50 per
day to park at the train station. Should you drive or take the train?
Draw a Venn diagram to represent the given information.
30) In a survey of 80 pet owners, 50 had a dog, 33 had a cat, and 12 had both a cat and a dog. 30)
Draw a Venn diagram to determine whether the argument is valid.
31) Premise: All snakes have fangs. 31)
Premise: Teri's pet does not have fangs.
Conclusion: Teri's pet is not a snake.
3
AMAZINGTIPS
